Question

If 2/3 of a number is 6, find the number

Answer 1

Given:

• $\frac{2}{3}$ of a number is 6

To find:

• Number?

Solution:

We are given that $\frac{2}{3}$ of a number is 6.

Let suppose that number is x

Now,

We can say that $\frac{2}{3}$ of x is 6.

Let solve this equation :

$\implies{\large{\sf{\frac{2}{3}x\:=\:6}}}$

$\implies{\large{\sf{\frac{2x}{3}\:=\:6}}}$

$\implies{\large{\sf{2x \:=\: 6 × 3}}}$

$\implies{\large{\sf{2x\:=\:18}}}$

$\implies{\large{\sf{x\:=\: \dfrac{18}{2}}}}$

$\implies{\large{\sf{x\:=\:9}}}$

Therefore,

$~~~~~~~~~~~~\large{\boxed{\sf{\green{Required~number~is~9}}}}$

Answer 2

A N S W E R :

• The Required number is 14.

Given :

• 2/3 of a number is 6

To find :

• Find the number ?

Solution :

• Let the number be x

So,

• 2/3 of x is 6

=> 2/3 of x = 6

=> 2x/3 = 6

=> x = 6 × 3 / 2

=> x = 3 × 3

=> x = 9

Hence,

• The Required number is 9.